Question

Line segment ACB. Coordinates for A are 5, 5 and C are 1, 4.

If point C is the midpoint of AB , what is the coordinate of point B?

Answer 1

You know the midpoint formula?

Answer 2

yes but everytime i do it what i come out with are not the answers given

Answer 3

you have choices?

Answer 4

yes do you want to see them?

Answer 5

I prefer surprise, lol
what I'd rather see is how you applied the midpoint formula
could you show me how you used it?

Answer 6

i did 5 plus 1 then 5 plus 4

Answer 7

and then divided them by 2?

Answer 8

yup and it comes out wrong but if i subtract the right answer option is given

Answer 9

ok, here's the problem
if you think the answer is
(3, 4.5)
then it would really be wrong
because what you just computer for
is the midpoint between A and C

Answer 10

*computed

Answer 11

yeah thats what i get so wait what do yu do

Answer 12

Well, first, let the coordinates of B be (x, y)

Answer 13

you know for a fact that C is the midpoint of A and B, right?

Answer 14

right

Answer 15

so, C must be the result if you apply the midpoint formula for A and B, right?

Answer 16

so wait what would the equation look like

Answer 17

well, if the coordinates for B would be (x, y), then
applying the midpoint formula

(5 + x)/2 = 1 and
(5 + y)/2 = 4

Do you know why these are?